Do you see the logic?

In Math today we played a logic game with a bat and some pumpkins.  The object of the game is not to end up with the bat.  You can take one or two pumpkins when it is your turn.  Here is how you play.
1. Spread the pumpkins and bat out on a table or the floor.
2. Decide who goes first.  We decided this by doing rock, paper, scissors. 
3. Take one or two pumpkins when it is your turn.
4. Try not to be left with the bat!

After we played for a bit we talked about the strategies that worked for us.  Does it matter who starts?  Does it matter how many pumpkins are in your starting pile?  Play it and see if you can find some strategies that work for you!